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Fractional generalization of memristor and higher order elements

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Resumo(s)

Fractional calculus generalizes integer order derivatives and integrals. Memristor systems generalize the notion of electrical elements. Both concepts were shown to model important classes of phenomena. This paper goes a step further by embedding both tools in a generalization considering complex-order objects. Two complex operators leading to real-valued results are proposed. The proposed class of models generate a broad universe of elements. Several combinations of values are tested and the corresponding dynamical behavior is analyzed.

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Palavras-chave

Fractional calculus Memristor Device modeling

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Editora

Elsevier

Licença CC

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